Lifshitz-like transition and enhancement of correlations in a rotating bosonic ring lattice

Abstract

We study the effects of rotation on one-dimensional ultra-cold bosons confined to a ring lattice. For commensurate systems, at a critical value of the rotation frequency, an infinitesimal interatomic interaction energy opens a gap in the excitation spectrum, fragments the ground state into a macroscopic superposition of two states with different circulation and generates a sudden change in the topology of the momentum distribution. These features are reminiscent of the topological changes in the Fermi surface that occurs in the Lifshitz transition in fermionic systems. The entangled nature of the ground state induces a strong enhancement of quantum correlations and decreases the threshold for the Mott insulator transition. In contrast to the commensurate case, the incommensurate lattice is rather insensitive to rotation. Our studies demonstrate the utility of noise correlations as a tool for identifying new physics in strongly correlated systems.

5 pages, 4 figures

References in corpus (10)

• Spatial quantum noise interferometry in expanding ultracold atom clouds
• The Mott insulator transition in two dimensions
• Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Decay of a superfluid currents in a moving system of strongly interacting bosons
• Pomeranchuk and Topological Fermi Surface Instabilities from Central Interactions
• Vortex configurations of bosons in an optical lattice
• Macroscopic superpositions of superfluid flows
• Creation of macroscopic superposition states from arrays of Bose-Einstein condensates
• Hanbury Brown-Twiss Interferometry for Fractional and Integer Mott Phases

Cited by in corpus (28)

• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Synthetic gauge fields and homodyne transmission in Jaynes-Cummings lattices
• Generation of macroscopic superposition states in ring superlattices
• An Atomtronic Flux Qubit: A ring lattice of Bose-Einstein condensates interrupted by three weak links
• Dark dynamic acousto-optic ring lattices for ultracold atoms
• Superfluidity and Chaos in low dimensional circuits
• Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
• Supercurrent survival under Rosen-Zener quench of hard core bosons
• Phonon-induced artificial magnetic fields
• Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices
• Transport of ultracold atoms between concentric traps via spatial adiabatic passage
• Superposition states of ultracold bosons in rotating rings with a realistic potential barrier
• Superfluidity in Bose-Hubbard circuits
• Chaos and two-level dynamics of the Atomtronic Quantum Interference Device
• Engineering many-body quantum dynamics by disorder
• Accurate numerical verification of the instanton method for macroscopic quantum tunneling: dynamics of phase slips
• Approximate mean-field equations of motion for quasi-2D Bose-Einstein condensate systems
• Protected cat states from kinetic driving of a boson gas
• Coherent injecting, extracting, and velocity filtering of neutral atoms in a ring trap via spatial adiabatic passage
• Degeneracy of Many-body Quantum States in an Optical Lattice with a Uniform Magnetic Field
• Characterizing the temporal rotation and radial twist of the interference pattern of vortex beam
• Strong correlations in quantum vortex nucleation of ultracold atomic gases
• Simulating and detecting artificial magnetic fields in trapped atoms
• Mesoscopic quantum switching of a Bose-Einstein condensate in an optical lattice governed by the parity of the number of atoms
• Macroscopic superposition states in rotating ring lattices
• Chaos, Metastability and Ergodicity in Bose-Hubbard Superfluid Circuits
• One- and two-atom states in a rotating ring lattice
• Persistent-current states originating from the Hilbert space fragmentation in momentum space